Question

the age of two girls are in the ratio 5 ratio 7 8 year ago their ages were in the ratio 7 ratio 13 find their present ages​

Answer 1

Explanation:

Their present ages is 50 and 70.

Let Ages of two persons is 5x,7x

Eighteen years ago their ages were (5x-18),(7x-18) Their ratio is 8:13 so…

(5x-18)/(7x-18)=8/13

13(5x-18)=8(7x-18)

65x-234=56x-144

65x-56x=234–144

9x=90

x=10

Answer 2

Answers:

• ★ A's Present Age is 15 years

• ★ B's Present Age is 21 years

Step-by-step explanation:

★ Given that :

• The Ratio of two girls = 5 : 7

• and the Ratio of Their Age 8 years Ago

★ To Find :

• Their present Age ?

★ Solution :

According to Given Questions Assume that,

The Present Age of A and B be 5 x and 7 x years Respectively

:
`\implies` A's Age 8 years = ( 5 x - 8 ) years

:
`\implies` B's Age 8 years = ( 17 x - 8 ) years

:
`\implies` ∴ 5 x - 8 / 7 x - 8

:
`\implies` = 7 / 13

:
`\implies` 13 ( 5 x - 8 ) = ( 7 x - 8 )

:
`\implies` 65 x 49 x - 56

:
`\implies` 16 x = 48

:
`\implies` = 48 / 16 = 3

A's Present Age of 5 years = ( 5 × 3 ) = 15 years

B's Present Age of 7 years = ( 7 × 3 ) = 21 years

Hence, present ages of the girls are 15 years and 21 years.